Use the Shell Balance approach to solve the following problems: 1. A large airway is lined with a mucus layer of thickness, h, that has viscosity and density . Beating cilia on the airway wall beat up and down, acting to oppose the pull of gravity and "pump" the fluid upward. This process can be modeled by taking the fluid at the airway wall to be moving at V0. Assume airway mucus can be modeled as an incompressible, Newtonian fluid and that the system is at steady state with parallel flow. 2. The system is the same as Problem 1 but now assume that airway mucus is considered a Power law fluid. a. Discuss how your approach to solve this problem will differ from Problem 1 b. Derive an expression for the shear stress in the mucus. c. Derive an expression for the velocity profile of the mucus